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Space Diagonal of Rectangular Prism Formula

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The Space Diagonal of Rectangular Prism is the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Rectangular Prism. Check FAQs

d Space = \sqrt{{l Base}^{2} + h^{2} + {w Base}^{2}}

d_Space - Space Diagonal of Rectangular Prism?l_Base - Base Length of Rectangular Prism?h - Height of Rectangular Prism?w_Base - Base Width of Rectangular Prism?

Space Diagonal of Rectangular Prism Example

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Here is how the Space Diagonal of Rectangular Prism equation looks like with Values.

Here is how the Space Diagonal of Rectangular Prism equation looks like with Units.

Here is how the Space Diagonal of Rectangular Prism equation looks like.

19.7231 = \sqrt{10^{2} + 15^{2} + 8^{2}}

19.7231m = \sqrt{{10m}^{2} + {15m}^{2} + {8m}^{2}}

19.7231 = \sqrt{10^{2} + 15^{2} + 8^{2}}

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Space Diagonal of Rectangular Prism Solution

Follow our step by step solution on how to calculate Space Diagonal of Rectangular Prism?

FIRST Step Consider the formula

d Space = \sqrt{{l Base}^{2} + h^{2} + {w Base}^{2}}

Next Step Substitute values of Variables

∴

d Space = \sqrt{{10m}^{2} + {15m}^{2} + {8m}^{2}}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{10^{2} + 15^{2} + 8^{2}}

Next Step Evaluate

∴

d Space = 19.723082923316m

LAST Step Rounding Answer

∴

d Space = 19.7231m

Space Diagonal of Rectangular Prism Formula Elements

Variables

Functions

Space Diagonal of Rectangular Prism

The Space Diagonal of Rectangular Prism is the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Rectangular Prism.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Rectangular Prism

Base Length of Rectangular Prism

The Base Length of Rectangular Prism is the length of the longer pair of edges of the bottom rectangular face of the Rectangular Prism.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length of Rectangular Prism

Height of Rectangular Prism

The Height of Rectangular Prism is the length of the straight line connecting any vertex on the bottom surface to the corresponding vertex on the top surface of the Rectangular Prism.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Rectangular Prism

Base Width of Rectangular Prism

The Base Width of Rectangular Prism is the length of the shorter pair of edges of the bottom rectangular face of the Rectangular Prism.

Symbol: w_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Width of Rectangular Prism

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Rectangular Prism category

Go Base Area of Rectangular Prism

A Base = l Base \cdot w Base

Go Total Surface Area of Rectangular Prism

TSA = 2 \cdot ((l Base \cdot w Base) + (l Base \cdot h) + (w Base \cdot h))

Go Volume of Rectangular Prism

V = l Base \cdot w Base \cdot h

How to Evaluate Space Diagonal of Rectangular Prism?

Space Diagonal of Rectangular Prism evaluator uses Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2) to evaluate the Space Diagonal of Rectangular Prism, The Space Diagonal of Rectangular Prism formula is defined as the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Rectangular Prism. Space Diagonal of Rectangular Prism is denoted by d_Space symbol.

How to evaluate Space Diagonal of Rectangular Prism using this online evaluator? To use this online evaluator for Space Diagonal of Rectangular Prism, enter Base Length of Rectangular Prism (l_Base), Height of Rectangular Prism (h) & Base Width of Rectangular Prism (w_Base) and hit the calculate button.

FAQs on Space Diagonal of Rectangular Prism

What is the formula to find Space Diagonal of Rectangular Prism?

The formula of Space Diagonal of Rectangular Prism is expressed as Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2). Here is an example- 19.72308 = sqrt(10^2+15^2+8^2).

How to calculate Space Diagonal of Rectangular Prism?

With Base Length of Rectangular Prism (l_Base), Height of Rectangular Prism (h) & Base Width of Rectangular Prism (w_Base) we can find Space Diagonal of Rectangular Prism using the formula - Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2). This formula also uses Square Root (sqrt) function(s).

Can the Space Diagonal of Rectangular Prism be negative?

No, the Space Diagonal of Rectangular Prism, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Rectangular Prism?

Space Diagonal of Rectangular Prism is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Rectangular Prism can be measured.

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Space Diagonal of Rectangular Prism Formula

Space Diagonal of Rectangular Prism Example

Space Diagonal of Rectangular Prism Solution

Space Diagonal of Rectangular Prism Formula Elements

Other formulas in Rectangular Prism category

How to Evaluate Space Diagonal of Rectangular Prism?

FAQs on Space Diagonal of Rectangular Prism

Variable Name